Multi-amplitude sample generating apparatus and method

• US 5,230,008 A
• Filed: 01/18/1991
• Issued: 07/20/1993
• Est. Priority Date: 01/18/1991
• Status: Expired due to Fees

• Current Assignee: Motorola, Inc. (Motorola Solutions, Inc.)
• Original Assignee: Motorola, Inc. (Motorola Solutions, Inc.)
• Inventors: Freeburg, Thomas A., Duch, Krzysztof M.
• Primary Examiner(s): Chin, Stephen
• Application Number:
  US07/644,186
• Time in Patent Office: 914 Days
• Field of Search: 375/17, 375/19, 328/14, 328/18, 360/40, 341/56
• US Class Current: 375/292
• CPC Class Codes: G06F 1/0353 by using symmetrical properties of the function, e.g. using most significant bits for quadrant control
• CPC Class Codes: G06F 1/0356 by using two or more smaller tables, e.g. addressed by parts of the argument
• CPC Class Codes: G06F 2101/04 Trigonometric functions

Abstract

An apparatus scales binary samples representing a predetermined waveform (109) to achieve every possible transition in a multi-level transmission system. The predetermined waveform (109) is partitioned into M symbol intervals, each symbol interval having a corresponding waveform represented by a series of binary samples V stored in M separate ROM devices (311-316). Depending on the required amplitude and polarity of the transition, logic blocks (351-356) control scaling multipliers (321-326) and polarity multipliers (331-336) to perform the required scaling and inverting of the binary samples retrieved from ROM (311-316). The scaled and inverted samples are added together by an adder (345) and sent to a D/A converter (350) where the desired scaled and inverted waveform is converted/generated from the scaled and inverted binary samples.

Claims

1. An apparatus for selectively generating a desired multi-amplitude sample set from a single generic sample set, the apparatus comprising:

means for storing the single generic sample set having predetermined polarity and amplitude characteristics generated relative to a predetermined amplitude reference;

means for determining a numerical value corresponding to the amplitude characteristic of said desired multi-amplitude sample set and the polarity of said desired multi-amplitude sample set amplitude characteristic relative to said predetermined amplitude reference;

means for changing the amplitude characteristic of said generic sample set in proportion to said numerical value; and

means for inverting the polarity of said amplitude characteristic if the polarity of the desired multi-amplitude sample set amplitude characteristic is opposite the polarity of the amplitude characteristic of said generic sample set.

2. The apparatus of claim 1 wherein said means for changing further comprises means for dividing said generic sample set into a first generic sample set and a second generic sample set.

3. The apparatus of claim 2 wherein said desired sample set corresponds to a predetermined number of bits contained in one time interval and said means for changing further comprises means for shifting in time said first generic sample set by a number of samples equal to the number of bits per interval to produce a first shifted generic sample set.

4. The apparatus of claim 3 wherein said desired sample set corresponds to a predetermined number of bits contained in one time interval and said means for changing further comprises means, responsive to said means for determining, for shifting in time said second generic sample set by at most log₂ L number of bits per interval, where L corresponds to twice the number of amplitudes said desired sample set may have, to produce a second shifted generic sample set.

5. The apparatus of claim 4 wherein said means for changing further comprises means, coupled to said means for determining, for adding said first shifted generic sample set and said second shifted generic sample set to produce a sum of said first shifted generic sample set and said second shifted generic sample set.

6. The apparatus of claim 5 wherein said means for changing further comprises means, coupled to said first set shifting means, for inverting said sum of said first shifted generic sample set and said second shifted generic sample set if the polarity of the desired multi-amplitude sample set amplitude characteristic is opposite the polarity of the amplitude characteristic of said generic sample set.

7. The apparatus of claim 6 wherein said means for inverting further comprises means for toggling each of said predetermined number of bits contained in one time interval if the polarity of the desired multi-amplitude sample set amplitude characteristic is opposite the polarity of the amplitude characteristic of said generic sample set.

8. A transmitter employing an apparatus for generating L multi-amplitude sample sets from a generic sample set of V samples, the transmitter comprising:

means for storing V separate generic samples having predetermined polarity and amplitude characteristics generated relative to a predetermined amplitude reference;

means for determining a numerical value corresponding to the amplitude characteristic of one of said L multi-amplitude sample sets and the polarity of said one multi-amplitude sample set amplitude characteristic relative to said predetermined amplitude reference;

means for changing the amplitude characteristic of said V samples in proportion to said numerical value;

means for inverting the polarity of said amplitude characteristic if said polarity of said one multi-amplitude sample set is opposite the polarity of the amplitude characteristic of said generic set;

means, coupled to said means for inverting, for adding said V samples to produce a composite sample set;

means for converting said composite sample set to an analog waveform having predetermined time and frequency domain characteristics; and

means for transmitting said analog waveform.

9. The transmitter of claim 8 wherein said means for changing further comprises means for dividing said generic sample set into a first generic sample set and a second generic sample set.

10. The transmitter of claim 9 wherein at least one of said L sample sets corresponds to a predetermined number of bits contained in one time interval and said means for changing further comprises means for shifting in time said first generic sample set by a number of samples equal to the number of bits per interval to produce a first shifted generic sample set.

11. The transmitter of claim 10 wherein at least one of said L sample sets corresponds to a predetermined number of bits contained in one time interval and said means for changing further comprises means, responsive to said means for determining, for shifting in time said second generic sample set by at most log₂ L number of bits per interval, where L corresponds to twice the number of amplitudes said desired sample set may have, to produce a second shifted generic sample set.

12. The transmitter of claim 11 wherein said means for changing further comprises means, coupled to said means for determining, for adding said first shifted generic sample set and said second shifted generic sample set to produce a sum of said first shifted generic sample set and said second shifted generic sample set.

13. The transmitter of claim 12 wherein said means for changing further comprises means, coupled to said first set shifting means, for inverting said sum of said first shifted generic sample set and said second shifted generic sample set if the polarity of the L multi-amplitude sample set amplitude characteristic is opposite the polarity of the amplitude characteristic of said generic sample set.

14. The transmitter of claim 8 wherein said means for inverting further comprises means for toggling each of said predetermined number of bits contained in one time interval if the polarity of the L multi-amplitude sample set amplitude characteristic is opposite the polarity of the amplitude characteristic of said generic sample set.

15. The transmitter of claim 8 wherein said means for converting further comprises a digital-to-analog converter.

16. A method of selectively generating a desired multi-amplitude sample set from a single generic sample set, the method comprising:

storing the single generic sample set having predetermined polarity and amplitude characteristics generated relative to a predetermined amplitude reference;

determining a numerical value corresponding to the amplitude characteristic of said desired multi-amplitude sample set and the polarity of said desired multi-amplitude sample set amplitude characteristic relative to said predetermined amplitude reference;

changing the amplitude characteristic of said generic sample set in proportion to said numerical value; and

inverting the polarity of said amplitude characteristic if the polarity of the desired multi-amplitude sample set amplitude characteristic is opposite the polarity of the amplitude characteristic of said generic sample set.

17. The method of claim 16 wherein said step of changing further comprises the step of dividing said generic sample set into a first generic sample set and a second generic sample set.

18. The method of claim 17 wherein said desired sample set corresponds to a predetermined number of bits contained in one time interval and said step of changing further comprises the step of shifting in time said first generic sample set by a number of samples equal to the number of bits per interval to produce a first shifted generic sample set.

19. The method of claim 18 wherein said desired sample set corresponds to a predetermined number of bits contained in one time interval and said step of changing further comprises the step, responsive to said step of determining, of shifting in time said second generic sample set by at most log₂ L number of bits per interval, where L corresponds to twice the number of amplitudes said desired sample set may have, to produce a second shifted generic sample set.

20. The method of claim 19 wherein said step of changing further comprises the step, coupled to said step of determining, of adding said first shifted generic sample set and said second shifted generic sample set to produce a sum of said first shifted generic sample set and said second shifted generic sample set.

21. The method of claim 20 wherein said step of changing further comprises the step, coupled to said first set shifting step, of inverting said sum of said first shifted generic sample set and said second shifted generic sample set if the polarity of the desired multi-amplitude sample set amplitude characteristic is opposite the polarity of the amplitude characteristic of said generic sample set.

22. The method of claim 21 wherein said step of inverting further comprises the step of toggling each of said predetermined number of bits contained in one time interval if the polarity of the desired multi-amplitude sample set amplitude characteristic is opposite the polarity of the amplitude characteristic of said generic sample set.

23. A method of transmission which generates L multi-amplitude sample sets from a generic sample set of V samples, the method comprising:

storing V separate generic samples having predetermined polarity and amplitude characteristics generated relative to a predetermined amplitude reference;

determining a numerical value corresponding to the amplitude characteristic of one of said L multi-amplitude sample sets and the polarity of said one multi-amplitude sample set amplitude characteristic relative to said predetermined amplitude reference;

changing the amplitude characteristic of said V samples in proportion to said numerical value;

inverting the polarity of said amplitude characteristic if said polarity of said one multi-amplitude sample set is opposite the polarity of the amplitude characteristic of said generic set;

adding, coupled to said step of inverting, said V samples to produce a composite sample set;

converting said composite sample set to an analog waveform having predetermined time and frequency domain characteristics; and

transmitting said analog waveform.

24. The method of claim 23 wherein said step of changing further comprises the step of dividing said generic sample set into a first generic sample set and a second generic sample set.

25. The method of claim 24 wherein at least one of said L sample sets corresponds to a predetermined number of bits contained in one time interval and said step of changing further comprises the step of shifting in time said first generic sample set by a number of samples equal to the number of bits per interval to produce a first shifted generic sample set.

26. The method of claim 25 wherein at least one of said L sample sets corresponds to a predetermined number of bits contained in one time interval and said step of changing further comprises the step, responsive to said step of determining, of shifting in time said second generic sample set by at most log₂ L number of bits per interval, where L corresponds to twice the number of amplitudes said desired sample set may have to produce a second shifted generic sample set.

27. The method of claim 26 wherein said step of changing further comprises the step, coupled to said step of determining, of adding said first shifted generic sample set and said second shifted generic sample set to produce a sum of said first shifted generic sample set and said second shifted generic sample set.

28. The method of claim 27 wherein said step of changing further comprises the step, coupled to said first set shifting step, of inverting said sum of said first shifted generic sample set and said second shifted generic sample set if the polarity of the L multi-amplitude sample set amplitude characteristic is opposite the polarity of the amplitude characteristic of said generic sample set.

29. The method of claim 23 wherein said step of inverting further comprises the step of toggling each of said predetermined number of bits contained in one time interval if the polarity of the L multi-amplitude sample set amplitude characteristic is opposite the polarity of the amplitude characteristic of said generic sample set.